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root / semester_1 / letusc / luc062.c

luc062.c (1164B)


      1 /* For the following set of n data points (x, y), write a program to compute the correlation coefficient r.
      2 */
      3 
      4 /* Let Us C, Chap- 13 (Arrays), Qn No.: B(h) */
      5 
      6 /* This file is auto-generated by a bot. */
      7 /* This code is not compiled; it is for reference only. */
      8 
      9 
     10 #include <stdio.h>
     11 #include <math.h>
     12 #include <stdlib.h>
     13 
     14 int main()
     15 {
     16     double x[] = {34.22, 39.87, 41.85, 43.23, 40.06, 53.29, 53.29, 54.14, 49.12, 40.71, 55.15};
     17     double y[] = {102.43, 100.93, 97.43, 97.81, 98.32, 98.32, 100.07, 97.08, 91.59, 94.85, 94.65};
     18     
     19     int n = 11, i;
     20     double sum_x = 0, sum_y = 0, sum_xy = 0, sum_x2 = 0, sum_y2 = 0;
     21     double numerator, denominator, r;
     22 
     23     for (i = 0; i < n; i++)
     24     {
     25         sum_x += x[i];
     26         sum_y += y[i];
     27         sum_xy += x[i] * y[i];
     28         sum_x2 += x[i] * x[i];
     29         sum_y2 += y[i] * y[i];
     30     }
     31 
     32     numerator = (n * sum_xy) - (sum_x * sum_y);
     33     denominator = sqrt((n * sum_x2 - sum_x * sum_x) * (n * sum_y2 - sum_y * sum_y));
     34 
     35     if (denominator != 0)
     36         r = numerator / denominator;
     37     else
     38         r = 0; // Avoid division by zero
     39 
     40     printf("Correlation coefficient (r) = %.4f\n", r);
     41 
     42     return 0;
     43 }
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